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Finding the Third Proportional to 20,703 and 31,897

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Solution

The third proportional to 20,703 and 31,897 is: 49,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703 : 31,897 = 31,897 : x
  2. Step 2: Convert to fraction form
    20,703/31,897 = 31,897/x
  3. Step 3: Cross multiply
    20,703x = 31,897 × 31,897
  4. Step 4: Simplify right side
    20,703x = 1,017,418,609
  5. Step 5: Solve for x
    x = 1,017,418,609/20,703
  6. Step 6: Final answer
    x = 49,143.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.